Atkin-Lehner |
3- 5+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
116025bd |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
2730240 |
Modular degree for the optimal curve |
Δ |
-322421904044296875 = -1 · 33 · 57 · 72 · 133 · 175 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ -6 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-317408,73947344] |
[a1,a2,a3,a4,a6] |
Generators |
[-572:8287:1] [-507:10237:1] |
Generators of the group modulo torsion |
j |
-226338618158977024/20635001858835 |
j-invariant |
L |
6.7364564849315 |
L(r)(E,1)/r! |
Ω |
0.29830901475813 |
Real period |
R |
0.062728171744713 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000007517 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23205b1 |
Quadratic twists by: 5 |